Teacher: Ms. Carey Office Location: Ed Center 111 Office Hours: 2:30-3:30 Tue, Thur E-mail: katelin.carey@maine.edu
Summary of Unit
This unit is about the Pythagorean Theorem and how to find unknown distances. The understanding that the Pythagorean Theorem is everywhere in the world along with how right triangles can be found in other polygons will be clear. The understanding will come from many examples, instruction, and demonstration. At the end there will then be a project that will assess the understanding of the Pythagorean Theorem using Google Earth. This will cover standards 7 and 8, along with Google Earth skills, presentation skills, and creative thinking skills. At the end of this unit, it will be clear how to use the Pythagorean Theorem in many ways and many places.
Establish Goals
Common Core State Standards Content Area: Geometry Grade Level: Grade 8 Domain: Geometry Cluster: Understand and apply the Pythagorean Theorem Standard: 7. Apply the Pythagorean Theorem to determine the unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions, 8. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Students will understand that
• the Pythagorean Theorem is everywhere in the world.
• the Pythagorean Theorem can be used to find unknown distances.
• right triangles are in many different polygons.
Essential Questions
• How can you use the Pythagorean Theorem in a real life situation?
• Why can the Pythagorean Theorem be used to find the unknown distances?
• How can you use other polygons to find right triangles?
• design right triangles in different polygons.
• evaluate the distance between two points.
• solve unknown side lengths in a right triangle.
• compare polygons to find right triangles.
• believe they can use Pythagorean Theorem in the world.
• recognize right triangles in the real world.
Performance Task Overview
Coaches of professional sports teams that are not succeeding in their games are looking for new plays that will help their team. Your task is to create new plays for the team and convince other coaches what sort of new plays they would want. You want to convince them that the Pythagorean Theorem is worth using in sports. You will use Google Earth to find your sports' field or court and you will then want to create hypothetical plays and use the Pythagorean Theorem to find the unknown distances. Google Earth has a ruler to find out the distances from point to point and you are not allowed to do this. I want you to create a hypothetical length that makes sense, so you have to find one of the sides. You will then create some way to show the coaches what your plays are and why they would be useful to them. If they like your plays, you will be paid for the use of them on their team. Be creative and have fun!
Expectations
Absences: If you miss a class, it is your responsibility to get your missing work and notes. Any handouts you missed will be in the back of the room in your class's folder with your name on them. After you get the notes from a peer and your handouts, discuss with me your due dates as I am willing to compromise depending on circumstances. If you have missed more than three days in a row, we can work out an alternative assignment.
Plagiarism: This classroom plagiarism policy abides with the schools policy. You should take pride in your own work and not someone else's. Make sure you give credit where it is do. Use proper citation which will be MLA for my class. If you need help citing refer to me, ask a librarian or research it online. An easy way to cite your source is easybib.com.
Assignments: All assignments will have formal deadlines and due dates but I am willing to adjust depending on circumstances. If the deadline can not be met, communicate with me by seeing me or emailing me, it is your responsibility to do it before you show up to class. Please do all assignment to the best of your abilities. I will give feedback on all work. Assignments late or unexcused will have grade consequences depending on circumstance.
Classroom Expectations: The number one rule in this class is respect at all times, and I hope you will respect outside of the class also. Every student in the class is treated with dignity and respect and nothing less. Each student is allowed to ask any question they want and be treated with respect. When I am talking, especially when instructing, the class is to listen and respect me. I expect you to be ready to learn and participate in class. If I know that you are trying the best of your abilities, you will succeed.
Benchmarks
Geogebra: On Geogebra, make two shapes in random places on the grid. Then, show how you can find the distances between two of the points, using the Pythagorean Theorem. Make sure to label your points and write a summary explaining what you have done and how you found your distances. Find three different distances between two points and send your file to me. 45 points Google Earth: Find three examples of where you would use the Pythagorean Theorem to get somewhere, and explain how and why you would want to use them. Screenshot your examples and put them into a word document where you explain your work. 60 points
• Google Sketch Up: Use google sketch up to design various polygons. After, draw right triangles in the polygons and show how to use the Pythagorean Theorem to find different distances in the polygon, including the perimeter. Design at least four polygons and print off your work when done. 60 points OR Prezi: On Prezi, you can make different shapes on your slides, or insert pictures of polygons. Create polygons and then compare different polygons to show how there is right triangles in your polygons. You will present this Prezi, so make your presentation engaging and explain how you compared the polygons and how you found your right triangles. 60 points Brochure: Find three examples of where you would use the Pythagorean Theorem in the real world. Then, create a brochure where you are trying to convince someone who does not think the Pythagorean Theorem is relevant to them. Use pictures and captions and be creative making your brochure engaging. 40 points OR iMovie: In a group, find right triangles in the real world, whether you take pictures or videos, or even use Google Earth. Then, create a short iMovie commercial trying to sell the Pythagorean Theorem to consumers. 40 points
Grading Scale
A (93 -100), A- (90 - 92), B+ (87 - 89), B (83 - 86), B- (80 - 82), C+(77 - 79), C (73-76), C- (70 - 72), D+(67 - 69), D (63 - 66), D- (60 - 62), F (0 - 59).
Office Location: Ed Center 111
Office Hours: 2:30-3:30 Tue, Thur
E-mail: katelin.carey@maine.edu
Summary of Unit
This unit is about the Pythagorean Theorem and how to find unknown distances. The understanding that the Pythagorean Theorem is everywhere in the world along with how right triangles can be found in other polygons will be clear. The understanding will come from many examples, instruction, and demonstration. At the end there will then be a project that will assess the understanding of the Pythagorean Theorem using Google Earth. This will cover standards 7 and 8, along with Google Earth skills, presentation skills, and creative thinking skills. At the end of this unit, it will be clear how to use the Pythagorean Theorem in many ways and many places.Establish Goals
Common Core State StandardsContent Area: Geometry
Grade Level: Grade 8
Domain: Geometry
Cluster: Understand and apply the Pythagorean Theorem
Standard: 7. Apply the Pythagorean Theorem to determine the unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions, 8. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Students will understand that
• the Pythagorean Theorem is everywhere in the world.• the Pythagorean Theorem can be used to find unknown distances.
• right triangles are in many different polygons.
Essential Questions
• How can you use the Pythagorean Theorem in a real life situation?• Why can the Pythagorean Theorem be used to find the unknown distances?
• How can you use other polygons to find right triangles?
Students will know
• Vocabulary: Pythagorean Theorem, right angle, right triangle, hypotenuse, legs, polygon• Formulas: Pythagorean Theorem- a^2 +b^2= c^2
• Critical Ideas: isolating variable, square root, substitution, solving equations, distance
Students will be able to
• design right triangles in different polygons.• evaluate the distance between two points.
• solve unknown side lengths in a right triangle.
• compare polygons to find right triangles.
• believe they can use Pythagorean Theorem in the world.
• recognize right triangles in the real world.
Performance Task Overview
Coaches of professional sports teams that are not succeeding in their games are looking for new plays that will help their team. Your task is to create new plays for the team and convince other coaches what sort of new plays they would want. You want to convince them that the Pythagorean Theorem is worth using in sports. You will use Google Earth to find your sports' field or court and you will then want to create hypothetical plays and use the Pythagorean Theorem to find the unknown distances. Google Earth has a ruler to find out the distances from point to point and you are not allowed to do this. I want you to create a hypothetical length that makes sense, so you have to find one of the sides. You will then create some way to show the coaches what your plays are and why they would be useful to them. If they like your plays, you will be paid for the use of them on their team. Be creative and have fun!
Expectations
Absences: If you miss a class, it is your responsibility to get your missing work and notes. Any handouts you missed will be in the back of the room in your class's folder with your name on them. After you get the notes from a peer and your handouts, discuss with me your due dates as I am willing to compromise depending on circumstances. If you have missed more than three days in a row, we can work out an alternative assignment.Plagiarism: This classroom plagiarism policy abides with the schools policy. You should take pride in your own work and not someone else's. Make sure you give credit where it is do. Use proper citation which will be MLA for my class. If you need help citing refer to me, ask a librarian or research it online. An easy way to cite your source is easybib.com.
Assignments: All assignments will have formal deadlines and due dates but I am willing to adjust depending on circumstances. If the deadline can not be met, communicate with me by seeing me or emailing me, it is your responsibility to do it before you show up to class. Please do all assignment to the best of your abilities. I will give feedback on all work. Assignments late or unexcused will have grade consequences depending on circumstance.
Classroom Expectations: The number one rule in this class is respect at all times, and I hope you will respect outside of the class also. Every student in the class is treated with dignity and respect and nothing less. Each student is allowed to ask any question they want and be treated with respect. When I am talking, especially when instructing, the class is to listen and respect me. I expect you to be ready to learn and participate in class. If I know that you are trying the best of your abilities, you will succeed.
Benchmarks
Geogebra: On Geogebra, make two shapes in random places on the grid. Then, show how you can find the distances between two of the points, using the Pythagorean Theorem. Make sure to label your points and write a summary explaining what you have done and how you found your distances. Find three different distances between two points and send your file to me. 45 pointsGoogle Earth: Find three examples of where you would use the Pythagorean Theorem to get somewhere, and explain how and why you would want to use them. Screenshot your examples and put them into a word document where you explain your work. 60 points
• Google Sketch Up: Use google sketch up to design various polygons. After, draw right triangles in the polygons and show how to use the Pythagorean Theorem to find different distances in the polygon, including the perimeter. Design at least four polygons and print off your work when done. 60 points
OR
Prezi: On Prezi, you can make different shapes on your slides, or insert pictures of polygons. Create polygons and then compare different polygons to show how there is right triangles in your polygons. You will present this Prezi, so make your presentation engaging and explain how you compared the polygons and how you found your right triangles. 60 points
Brochure: Find three examples of where you would use the Pythagorean Theorem in the real world. Then, create a brochure where you are trying to convince someone who does not think the Pythagorean Theorem is relevant to them. Use pictures and captions and be creative making your brochure engaging. 40 points
OR
iMovie: In a group, find right triangles in the real world, whether you take pictures or videos, or even use Google Earth. Then, create a short iMovie commercial trying to sell the Pythagorean Theorem to consumers. 40 points
Grading Scale
A (93 -100), A- (90 - 92), B+ (87 - 89), B (83 - 86), B- (80 - 82), C+(77 - 79), C (73-76), C- (70 - 72), D+(67 - 69), D (63 - 66), D- (60 - 62), F (0 - 59).